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In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length XG is:1. 12 cm2. 10 cm3. 14 cm4. 16 cm |
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Answer» Correct Answer - Option 1 : 12 cm Given : XL is the centroid of a triangle XYZ and G is the centroid of the of the median Concept used : In a triangle ABC if a median AD is drawn from A to side C, then centroid G divides the AD in the ratio 2 : 1 Calculations : XL = XG + GL XG : GL = 2 : 1 (G is the centroid) ⇒ XG = (2/3) of XL ⇒ XG = (2/3) × 18 ⇒ XG = 12 ∴ XG is 12 cm. |
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